On the force and torque on systems of rigid bodies: A remark on an integral formula due to Howe

Clodoaldo Grotta Ragazzo; Esteban Tabak

doi:10.1063/1.2730481

On the force and torque on systems of rigid bodies: A remark on an integral formula due to Howe

Clodoaldo Grotta Ragazzo, Esteban Tabak

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

M. S. Howe [J. Fluid Mech. 206, 131 (1989)] presented integral formulas for the force and torque on a rigid body that permit the identification of the separate influences of added mass, normal stresses induced by free vorticity, and viscous skin friction. Here a simple extension of Howe's formulas is done for systems of several rigid bodies. The goal is to separate these effects on each rigid body. These new formulas may help in understanding the hydrodynamic interaction between bodies. As an example, the interaction forces on a pair of bubbles rising at high Reynolds number side by side are computed.

Original language	English (US)
Article number	057108
Journal	Physics of Fluids
Volume	19
Issue number	5
DOIs	https://doi.org/10.1063/1.2730481
State	Published - May 2007

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.2730481

Cite this

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abstract = "M. S. Howe [J. Fluid Mech. 206, 131 (1989)] presented integral formulas for the force and torque on a rigid body that permit the identification of the separate influences of added mass, normal stresses induced by free vorticity, and viscous skin friction. Here a simple extension of Howe's formulas is done for systems of several rigid bodies. The goal is to separate these effects on each rigid body. These new formulas may help in understanding the hydrodynamic interaction between bodies. As an example, the interaction forces on a pair of bubbles rising at high Reynolds number side by side are computed.",

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On the force and torque on systems of rigid bodies: A remark on an integral formula due to Howe

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